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Finding the Third Proportional to 75,946 and 117,899

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Solution

The third proportional to 75,946 and 117,899 is: 183,027.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,946 : 117,899 = 117,899 : x
  2. Step 2: Convert to fraction form
    75,946/117,899 = 117,899/x
  3. Step 3: Cross multiply
    75,946x = 117,899 × 117,899
  4. Step 4: Simplify right side
    75,946x = 13,900,174,201
  5. Step 5: Solve for x
    x = 13,900,174,201/75,946
  6. Step 6: Final answer
    x = 183,027.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.